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"relationship affected by" is correct and usable in written English.
You could use it when discussing how certain external factors can adversely impact a relationship. For example, "The couple's relationship was affected by the constant financial stress they experienced."
Exact(2)
"Alive with the Glory of Love," Say Anything's first single, has a main subject of a relationship affected by World War II and the Holocaust, based on Bemis's grandparents, while "Wow, I Can Get Sexual Too" includes mentions of "the old shul" and a rabbi's teachings.
Under the SEM, all of the error terms are assumed to be uncorrelated with each other, a scenario which would not be satisfied were the L- Y relationship affected by unmeasured confounding, given C and X (represented by U in Figure 3).
Similar(58)
It is a dramatised piece of history, an examination of how art can reflect such history and a probe into personal relationships affected by past tragedies.
A neuropsychological assessment would throw light on functional status of brain behaviour relationships affected by malnutrition.
With this as backdrop Mr. McInerney started writing again, taking two characters from "Brightness Falls" — Russell and Corrine — and pairing them with another couple whose relationship is affected by their different reactions to 9/11.
The newer song with the most immediate emotional charge, Mr. Gwon's "I'll Be Here," from the show "Ordinary Days," recalls a relationship profoundly affected by the tragedy of Sept. 11, 2001, without actually naming the event.
The relationship was affected by density and the drag coefficient (compare solid and broken lines), as in Fig. 7(a).
Consequently, 137Cs could be used directly for quantifying dynamics of SOC in soil redistribution relationship as affected by soil erosion.
However, this relationship is affected by error sources, specifically bone surface curvature and variability of probe positioning.
To summarize, when comparing model 7 to model 6, we claim the SES-health relationship is affected by the area income level.
This relationship is affected by the migrant's language acquisition and adaption to the culture and values of the group, among others.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com